WAEC Mathematics Past Questions & Answers - Page 210

1,046.
1,047.

If \(M5_{ten} = 1001011_{two}\) find the value of M

A.

5

B.

6

C.

7

D.

8

Correct answer is C

\(M5_{ten} = 1001011_{two}\\
=1 \times 2^6 + 0\times 2^5 + 0\times 2^4 + 1\times 2^3 + 0\times 2^2 + 1\times 2^1 \\
=64+8+2+1=75_{ten}\\
∴ m = 7 \)

1,048.

Find the value of x in the diagram

A.

31o

B.

35o

C.

37o

D.

41o

Correct answer is B

Sum of exterior angle of any polygon is 360o
(2x+5)o + 2xo + (x-20)o + xo + (3x+10)o + (x + 15)o = 360o; 10x = 350
x = 35

1,049.

Find the value of x in 0.5x + 2.6 = 5x + 0.35

A.

0.5

B.

2

C.

2.6

D.

5

Correct answer is A

\(0.5x + 2.6 = 5x + 0.35\\
0.5x - 5x = 0.35-2.6\\
-4.5x = -2.25\\
x = \frac{-2.25}{-4.5}\\
0.5\)

1,050.

Given that P = {b, d, e, f} and Q = {a, c, f, g} are subsets of the universal set U = {a,b, c, d, e, f, g}. Find P' ∩ Q

A.

{a,c}

B.

{a, c, d, g}

C.

{c, d, g}

D.

{a, c, g}

Correct answer is D

U = {a, b, c, d, e, f, g} P = {b, d, e, f} Q = {a, c, f, g} P' = {a, c, g} P' ∩ Q = {a, c, g}